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Find the stationary points of the curve y (x)= 1/3x^3 - 5/2x^2 + 4x and classify them.

To find the stationary points of the curve y(x), you must first differentiate the equation for y(x) in terms of x. This gives d(y(x))/dx = x^2 -5x +4. Now set this differential equal to zero and solve for...

DR
Answered by Danny R. Maths tutor
6115 Views

Where does the main (auxiliary) verb go in a subordinating clause when the perfect tense is formed with a modal verb?

This is a slight technicality of German word order. Whilst the normal rule for a clause following a subordinating conjunction (e.g. dass, weil, obwohl) is to place the main verb at the end of the...

WT
Answered by Will T. German tutor
3841 Views

Find the indefinite integral of x^8*ln(3x) using integration by parts

For this method we need to choose our u and dv/dx. Using the Late method (Logarithm, algebra, trigonometric, exponential), we can pick our u value which will be ln(3x). du/dx is therefore 1/x, using the c...

JB
Answered by Joel B. Maths tutor
5812 Views

A curve has an equation: (2x^2)*y +2x + 4y – cos(pi*y) = 17. Find dy/dx

You must differentiate each individual term in the equation.Firstly start with the term of the product of 2x2 * y, using the product rule (dy/dx = udv/dx + vdu/dx)Let u = 2x2

MB
Answered by Matthew B. Maths tutor
3642 Views

‘Only the most naïve reader could be seduced by the Satan of Book IX of Paradise Lost.’ How far do you agree?

The character of Satan is perhaps the most intriguing in Paradise Lost. He embodies evil by rebelling against the authority of God in heaven, yet he retains intelligence, emotion and even a disar...

SG
6402 Views

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